solving radical equations

Front

What is a radical equation?

Back

An equation that contains a variable within a radical (square root, cube root, etc.).

Front

How do you isolate a variable in a radical equation?

Back

Square both sides of the equation to eliminate the radical, then solve for the variable.

Front

What is the first step in solving the equation √(x + 3) = 5?

Back

Square both sides to get x + 3 = 25.

Front

What should you do after squaring both sides of a radical equation?

Back

Isolate the variable and solve for it.

Front

What is a common mistake when solving radical equations?

Back

Forgetting to check for extraneous solutions after solving.

Front

What does it mean if a radical equation has no solution?

Back

It means that there are no values for the variable that satisfy the equation.

Front

Solve the equation √(x) = 4.

Back

x = 16.

Front

Solve the equation √(x - 1) = 3.

Back

x = 10.

Front

Solve the equation √(2x + 4) = 6.

Back

x = 14.

Front

Solve the equation √(x + 2) = 2.

Back

x = 2.